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Finding the Third Proportional to 108,727 and 224,913

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Solution

The third proportional to 108,727 and 224,913 is: 465,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,727 : 224,913 = 224,913 : x
  2. Step 2: Convert to fraction form
    108,727/224,913 = 224,913/x
  3. Step 3: Cross multiply
    108,727x = 224,913 × 224,913
  4. Step 4: Simplify right side
    108,727x = 50,585,857,569
  5. Step 5: Solve for x
    x = 50,585,857,569/108,727
  6. Step 6: Final answer
    x = 465,255.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.